# Great pseudorhombic prismatotesseract

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Great pseudorhombic prismatotesseract | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Gapript |

Elements | |

Cells | 32 triangular prisms, 24 octagrammic prisms, 8 quasitruncated hexahedra |

Faces | 64 triangles, 48+96 squares, 48 octagrams |

Edges | 96+192 |

Vertices | 96 |

Vertex figure | Isosceles triangular retroprism, edge lengths 1 (2), √2 (6), and √2–√2 (4) |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Quith–3–trip: 90° |

Stop–4–stop: 90° | |

Quith–8/3–stop: 45° | |

Trip–4–stop: | |

Central density | -1 |

Related polytopes | |

Army | Srit, edge length |

Regiment | Wavitoth |

Conjugate | Small pseudorhombic prismatotesseract |

Convex core | Joined hexadecachoron |

Abstract & topological properties | |

Flag count | 4608 |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | B_{4}, order 384 |

Convex | No |

Nature | Tame |

The **great pseudorhombic prismatotesseract** is a nonconvex uniform polychoron that consists of 8 quasitruncated hexahedra, 32 triangular prisms, and 24 octagrammic prisms. Two quasitruncated hexahedra, two triangular prisms, and four octagrammic prisms join at each vertex.

## Gallery[edit | edit source]

## Vertex coordinates[edit | edit source]

The vertices are the same as those of the regiment colonel, the sphenoverted tesseractitesseractihexadecachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 6: Sphenoverts" (#224).

- Klitzing, Richard. "gapript".